{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0., 1., 2., 3.])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " #自动求导\n",
    "import torch\n",
    "x = torch.arange(4.0)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "x.requires_grad_(True)\n",
    "x.grad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(28., grad_fn=<MulBackward0>)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = 2 * torch.dot(x ,x)\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([ 0.,  4.,  8., 12.])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.backward()\n",
    "x.grad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([True, True, True, True])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.grad == 4 * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([1., 1., 1., 1.])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#默认情况下pytorch会累计梯度，要清除之前的值\n",
    "x.grad.zero_()\n",
    "y = x.sum()\n",
    "y.backward()\n",
    "x.grad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0., 2., 4., 6.])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#深度学习中不是计算微分矩阵，而是计算批量中每个样本单独计算的偏导数之和\n",
    "x.grad.zero_()\n",
    "y = x * x\n",
    "y.sum().backward()\n",
    "x.grad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([True, True, True, True])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#将某些计算移动到记录的计算图之外\n",
    "x.grad.zero_()\n",
    "y = x * x \n",
    "u = y.detach()      #u不再是x的函数，而是一个常数，它的值等于x*x\n",
    "z = u * x\n",
    "\n",
    "z.sum().backward()\n",
    "x.grad == u"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([True, True, True, True])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.grad.zero_()\n",
    "y.sum().backward()\n",
    "x.grad == 2 * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(True)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#即使构建的函数计算图需要通过python的控制流（条件，循环或任意函数的调用），仍然可以求导得到梯度\n",
    "def  f(a):\n",
    "    b = a * 2\n",
    "    while b.norm() < 1000:\n",
    "        b = b * 2\n",
    "    if b.sum()>0:\n",
    "        c = b\n",
    "    else:\n",
    "        c = 100 * b\n",
    "    return c\n",
    "a = torch.randn(size=(),requires_grad=True)\n",
    "d = f(a)\n",
    "d.backward()\n",
    "a.grad == d / a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import random \n",
    "import torch\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def synthetic_data(w,b,num_examples):\n",
    "    x = torch.normal(0,1,(num_examples,len(w)))\n",
    "    y = torch.matmul(x,w) + b\n",
    "    y += torch.normal(0,0.01,y.shape)\n",
    "    return x,y.reshape((-1,1))\n",
    "\n",
    "true_w = torch.tensor([2,-3.4])\n",
    "true_b = 4.2\n",
    "features,labels = synthetic_data(true_w,true_b,1000)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "features: tensor([-0.1010, -1.4050]) \n",
      "label: tensor([8.7919])\n"
     ]
    }
   ],
   "source": [
    "print('features:',features[0],'\\nlabel:',labels[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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     "metadata": {},
     "output_type": "execute_result"
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     },
     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
    }
   ],
   "source": [
    "d2l.set_figsize()\n",
    "d2l.plt.scatter(features[:,(1)].detach().numpy(),\n",
    "                labels.detach().numpy(),1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_iter(batch_size,features,labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    random.shuffle(indices)\n",
    "    for i in range(0, num_examples,batch_size):\n",
    "        batch_indices = torch.tensor(\n",
    "                indices[i:min(i+batch_size,num_examples)])\n",
    "        #print(batch_indices)\n",
    "        yield features[batch_indices],labels[batch_indices]\n",
    "\n",
    "batch_size = 10\n",
    "for x,y in data_iter(batch_size,features,labels):\n",
    "   #print(x,'\\n',y)\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#初始化参数\n",
    "w = torch.normal(0,0.01,size = (2,1),requires_grad=True)\n",
    "b = torch.zeros(1,requires_grad=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def linreg(x,w,b):\n",
    "    return torch.matmul(x,w) + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def squared_loss(y_hat,y):\n",
    "    return (y_hat - y.reshape(y_hat.shape)) ** 2 /2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sgd(params,lr,batch_size):\n",
    "    with torch.no_grad():\n",
    "        for param in params:\n",
    "            param -= lr * param.grad / batch_size\n",
    "            param.grad.zero_()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch1,loss0.022327\n",
      "epoch2,loss0.000087\n",
      "epoch3,loss0.000049\n"
     ]
    }
   ],
   "source": [
    "lr = 0.03\n",
    "num_epochs = 3\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "\n",
    "for epoch in range(num_epochs):\n",
    "    for x,y in data_iter(batch_size,features,labels):\n",
    "        l = loss(net(x,w,b),y)\n",
    "        \n",
    "        l.sum().backward()\n",
    "        sgd([w,b],lr,batch_size)\n",
    "    with torch.no_grad():\n",
    "        train_l = loss(net(features,w,b),labels)\n",
    "        print(f'epoch{epoch+1},loss{float(train_l.mean()):f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "#简洁实现\n",
    "import numpy as np\n",
    "import torch\n",
    "from torch.utils import data\n",
    "from d2l import torch as d2l\n",
    "\n",
    "true_w = torch.tensor([2,-3.4])\n",
    "true_b = 4.2\n",
    "features,labels = d2l.synthetic_data(true_w,true_b,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_array(data_array,batch_size,is_train=True):\n",
    "    dataset = data.TensorDataset(*data_array)\n",
    "    return data.DataLoader(dataset,batch_size,shuffle=is_train)\n",
    "\n",
    "batch_size = 10\n",
    "data_iter = load_array((features,labels),batch_size)\n",
    "\n",
    "#next(iter(data_iter))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "from torch import nn\n",
    "\n",
    "net = nn.Sequential(nn.Linear(2,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "net[0].weight.data.normal_(0,0.01)\n",
    "net[0].bias.data.fill_(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "loss = nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainer = torch.optim.SGD(net.parameters(),lr=0.03)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch1,loss0.000097\n",
      "epoch2,loss0.000098\n",
      "epoch3,loss0.000097\n"
     ]
    }
   ],
   "source": [
    "num_epochs = 3\n",
    "for epoch in range(num_epochs):\n",
    "    for x,y in data_iter:\n",
    "        l = loss(net(x),y)\n",
    "        trainer.zero_grad()\n",
    "        l.backward()\n",
    "        trainer.step()\n",
    "    l = loss(net(features),labels)\n",
    "    print(f'epoch{epoch+1},loss{l:f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### softmax回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "import torchvision\n",
    "from torch.utils import data\n",
    "from torchvision import transforms\n",
    "from d2l import torch as d2l\n",
    "\n",
    "d2l.use_svg_display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 10000)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trans = transforms.ToTensor()\n",
    "mnist_train = torchvision.datasets.FashionMNIST(root='../data',train=True,\n",
    "                                               transform = trans,\n",
    "                                               )\n",
    "mnist_test = torchvision.datasets.FashionMNIST(root='../data',train=False,\n",
    "                                               transform = trans,\n",
    "                                              )\n",
    "len(mnist_train),len(mnist_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 28, 28])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mnist_train[0][0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_fashion_mnist_labels(labels):\n",
    "    test_labels = ['t-shirt','trouser','pullover','dress','coat','sandal','s','sneaker','bag','ankle bot']\n",
    "    return [test_labels[int(i)] for i in labels]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_images(imgs,num_rows,num_cols,titles=None,scale=1.5):\n",
    "    figsize = (num_cols*scale,num_rows*scale)\n",
    "    _,axes = d2l.plt.subplots(num_rows,num_cols,figsize=figsize)\n",
    "    axes = axes.flatten()\n",
    "    for i,(ax,img) in enumerate(zip(axes,imgs)):\n",
    "        if torch.is_tensor(img):\n",
    "            ax.imshow(img.numpy())\n",
    "        else:\n",
    "            ax.imshow(img)\n",
    "        ax.axes.get_xaxis().set_visible(False)\n",
    "        ax.axes.get_yaxis().set_visible(False)\n",
    "        if titles:\n",
    "            ax.set_title(titles[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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      "text/plain": [
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     },
     "metadata": {
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     "output_type": "display_data"
    }
   ],
   "source": [
    "x,y = next(iter(data.DataLoader(mnist_train,batch_size=18)))\n",
    "show_images(x.reshape(18,28,28),2,9,titles=get_fashion_mnist_labels(y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'3.89 sec'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch_size = 256\n",
    "\n",
    "def get_dataloader_workers():\n",
    "    return 4     #用四个进程读取\n",
    "\n",
    "train_iter = data.DataLoader(mnist_train,batch_size,shuffle=True,\n",
    "                            num_workers = get_dataloader_workers())\n",
    "\n",
    "timer = d2l.Timer()\n",
    "for x,y in train_iter:\n",
    "    continue\n",
    "f'{timer.stop():.2f} sec'            #常见的性能瓶颈，读的有时候比训练的慢。我们要保证读比训练快"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_data_fashion_mnist(batch_size,resize=None):\n",
    "    trans = [transforms.ToTensor]\n",
    "    if resize:\n",
    "        trans.insert(0,transforms.Resize(resize))\n",
    "    trans = transforms.Compose(trans)\n",
    "    mnist_train = torchvision.datasets.FashionMNIST(root='../data',train=True,transform=trans)\n",
    "    mnist_test = torchvision.datasets.FashionMNIST(root='../data',train=False,transform=trans)\n",
    "    \n",
    "    return (data.DataLoader(mnist_train,batch_size,shuffle=True,\n",
    "                          num_workers=get_dataloader_workers()),\n",
    "             data.DataLoader(mnist_train,batch_size,shuffle=False,\n",
    "                          num_workers=get_dataloader_workers()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#softmax\n",
    "import torch\n",
    "from IPython import display\n",
    "from d2l import torch as d2l\n",
    "\n",
    "batch_size = 256\n",
    "train_iter,test_iter = d2l.load_data_fashion_mnist(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_inputs = 784\n",
    "num_outputs = 10\n",
    "\n",
    "w = torch.normal(0,0.01,size=(num_inputs,num_outputs),requires_grad=True)\n",
    "b = torch.zeros(num_outputs,requires_grad=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def softmax(x): \n",
    "    x_exp = torch.exp(x)\n",
    "    partition = x_exp.sum(1,keepdim=True)\n",
    "    return x_exp/partition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(tensor([[0.0029, 0.6424, 0.0982, 0.0163, 0.2402],\n",
       "         [0.1620, 0.1628, 0.3630, 0.2734, 0.0387]]), tensor([1.0000, 1.0000]))"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#验证softmax\n",
    "x = torch.normal(0,1,(2,5))\n",
    "x_prob = softmax(x)\n",
    "x_prob,x_prob.sum(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def net(x):\n",
    "    return softmax(torch.matmul(x.reshape((-1,w.shape[0])),w)+b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.1000, 0.5000])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#拿出softmax的输出结果,y作为y_hat的索引(拿出真实标号的预测值--概率)\n",
    "y = torch.tensor([0,2])\n",
    "y_hat = torch.tensor([[0.1,0.3,0.6],[0.3,0.2,0.5]])\n",
    "y_hat[[0,1],y]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([2.3026, 0.6931])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def cross_entropy(y_hat,y):\n",
    "    return -torch.log(y_hat[range(len(y_hat)),y])\n",
    "cross_entropy(y_hat,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def accuracy(y_hat,y):\n",
    "    if len(y_hat.shape) > 1 and y_hat.shape[0] > 1:\n",
    "        y_hat = y_hat.argmax(axis=1)\n",
    "    cmp = y_hat.type(y.dtype) == y\n",
    "    return float(cmp.type(y.dtype).sum())\n",
    "accuracy(y_hat,y)/len(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_accuracy(net,data_iter):\n",
    "    if isinstance(net,torch.nn.Module):\n",
    "        net.eval()\n",
    "    metric = Accumulator(2)\n",
    "    for x,y in data_iter:\n",
    "        metric.add(accuracy(net(x),y),y.numel())\n",
    "    return metric[0]/metric[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0543"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Accumulator:\n",
    "    def __init__(self,n):\n",
    "        self.data = [0.0] * n\n",
    "    \n",
    "    def add(self,*args):\n",
    "        self.data = [a + float(b) for a,b in zip(self.data,args)]\n",
    "    \n",
    "    def reset(self):\n",
    "        self.data = [0.0] * len(self.data)\n",
    "    \n",
    "    def __getitem__(self,idx):\n",
    "        return self.data[idx]\n",
    "\n",
    "evaluate_accuracy(net,test_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_epoch_ch3(net,train_iter,loss,updater):\n",
    "    if isinstance(net,torch.nn.Module):\n",
    "        net.train()\n",
    "    metric = Accumulator(3)\n",
    "    for X,y in train_iter:\n",
    "        y_hat = net(X)\n",
    "        l = loss(y_hat,y)\n",
    "        if isinstance(updater,torch.optim.Optimizer):\n",
    "            updater.zero_grad()\n",
    "            l.backward()\n",
    "            updater.step()\n",
    "            metric.add(\n",
    "                    float(l)*len(y),accuracy(y_hat,y),\n",
    "                    y.size().numel())\n",
    "        else:\n",
    "            l.sum().backward()\n",
    "            updater(X.shape[0])\n",
    "            metric.add(float(l.sum()),accuracy(y_hat,y),y.numel())\n",
    "    return metric[0] / metric[2],metric[1]/metric[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Animator:\n",
    "    def __init__(self,xlabel=None,ylabel=None,legend=None,xlim=None,\n",
    "                 ylim=None,xscale='linear',yscale='linear',\n",
    "                 fmts=('-','m--','g-.','r:'),nrows=1,ncols=1,\n",
    "                 figsize=(3.5,2.5)):\n",
    "        if legend is None:\n",
    "            legend = []\n",
    "        d2l.use_svg_display()\n",
    "        self.fig,self.axes = d2l.plt.subplots(nrows,ncols,figsize=figsize)\n",
    "        if nrows * ncols == 1:\n",
    "            self.axes = [self.axes,]\n",
    "        self.config_axes = lambda: d2l.set_axes(self.axes[\n",
    "            0],xlabel,ylabel,xlim,ylim,xscale,yscale,legend)\n",
    "        self.X,self.Y,self.fmts = None,None,fmts\n",
    "    def add(self, x, y):\n",
    "        # 向图表中添加多个数据点\n",
    "        if not hasattr(y, \"__len__\"):\n",
    "            y = [y]\n",
    "        n = len(y)\n",
    "        if not hasattr(x, \"__len__\"):\n",
    "            x = [x] * n\n",
    "        if not self.X:\n",
    "            self.X = [[] for _ in range(n)]\n",
    "        if not self.Y:\n",
    "            self.Y = [[] for _ in range(n)]\n",
    "        for i, (a, b) in enumerate(zip(x, y)):\n",
    "            if a is not None and b is not None:\n",
    "                self.X[i].append(a)\n",
    "                self.Y[i].append(b)\n",
    "        self.axes[0].cla()\n",
    "        for x, y, fmt in zip(self.X, self.Y, self.fmts):\n",
    "            self.axes[0].plot(x, y, fmt)\n",
    "        self.config_axes()\n",
    "        display.display(self.fig)\n",
    "        display.clear_output(wait=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_ch3(net,train_iter,test_iter,loss,num_epochs,updater):\n",
    "    animator = Animator(xlabel='epoch',xlim=[1,num_epochs],ylim=[0.3,0.9],\n",
    "                       legend = ['train loss','train acc','test acc'])\n",
    "    for epoch in range(num_epochs):\n",
    "        train_metrics = train_epoch_ch3(net,train_iter,loss,updater)\n",
    "        test_acc = evaluate_accuracy(net,test_iter)\n",
    "        animator.add(epoch+1, train_metrics+(test_acc,))\n",
    "    train_loss,train_acc = train_metrics\n",
    "    assert train_loss < 0.5, train_loss\n",
    "    assert train_acc <=1 and train_acc>0.7,train_acc\n",
    "    assert test_acc<=1 and test_acc>0.7,test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = 0.1\n",
    "\n",
    "def updater(batch_size):\n",
    "    return d2l.sgd([w,b],lr,batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
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      "text/plain": [
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     },
     "metadata": {
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     "output_type": "display_data"
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   ],
   "source": [
    "num_epochs = 10\n",
    "train_ch3(net,train_iter,test_iter,cross_entropy,num_epochs,updater)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 648x108 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def predict_ch3(net, test_iter, n=6):  #@save\n",
    "    \"\"\"预测标签（定义见第3章）。\"\"\"\n",
    "    for X, y in test_iter:\n",
    "        break\n",
    "    trues = d2l.get_fashion_mnist_labels(y)\n",
    "    preds = d2l.get_fashion_mnist_labels(net(X).argmax(axis=1))\n",
    "    titles = [true + '\\n' + pred for true, pred in zip(trues, preds)]\n",
    "    d2l.show_images(X[0:n].reshape((n, 28, 28)), 1, n, titles=titles[0:n])\n",
    "\n",
    "predict_ch3(net, test_iter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 简洁实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch \n",
    "from torch import nn\n",
    "from d2l import torch as d2l\n",
    "\n",
    "batch_size = 256\n",
    "train_iter,test_iter = d2l.load_data_fashion_mnist(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sequential(\n",
       "  (0): Flatten()\n",
       "  (1): Linear(in_features=784, out_features=10, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "net = nn.Sequential(nn.Flatten(),nn.Linear(784,10))\n",
    "\n",
    "def init_weight(m):\n",
    "    if type(m) == nn.Linear:\n",
    "        nn.init.normal_(m.weight,std=0.01)\n",
    "net.apply(init_weight)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    " loss = nn.CrossEntropyLoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainer = torch.optim.SGD(net.parameters(),lr=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
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   "source": [
    "num_epochs = 10\n",
    "d2l.train_ch3(net,train_iter,test_iter,loss,num_epochs,trainer)"
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  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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